4 papers
Domain decomposition methods for the Stokes-Biot model of fluid-poroelastic structure interaction
Manraj Ghumman, Manu Jayadharan, Ivan Yotov
We develop a non-overlapping domain decomposition method for the numerical solution of the Stokes-Biot model of fluid-poroelastic structure interaction in a mixed form. The model i…
Multipoint stress mixed finite element methods for the linear Cosserat equations
Wietse M. Boon, Alessio Fumagalli, Jan M. Nordbotten +1
We propose mixed finite element methods for Cosserat materials that use suitable quadrature rules to eliminate the Cauchy and coupled stress variables locally. The reduced system c…
Multipoint stress mixed finite element methods for elasticity on cuboid grids
Ibrahim Yazici, Ivan Yotov
We develop multipoint stress mixed finite element methods for linear elasticity with weak stress symmetry on cuboid grids, which can be reduced to a symmetric and positive definite…
Mixed finite element projection methods for the unsteady Stokes equations
Costanza Aricò, Rainer Helmig, Ivan Yotov
We develop (div)-conforming mixed finite element methods for the unsteady Stokes equations modeling single-phase incompressible fluid flow. A projection method in the framework…